Polyhedral Lyapunov functions for structural stability of biochemical systems in concentration and reaction coordinates
(2015) 54th IEEE Conference on Decision and Control, CDC 2015 p.3110-3115- Abstract
Structural properties, independent of specific parameter values, can explain the robustness of biochemical systems. In this paper we consider the framework previously proposed by the authors to assess structural stability of biochemical reaction networks with monotone reaction rates, which considers systems in concentration coordinates, and we show that the results can be applied to systems in reaction coordinates (whose stability was first investigated by Al-Radhawi and Angeli): the same numerical test can be employed to find a polyhedral Lyapunov function and thus certify stability. Under suitable assumptions on the rank of structural matrices, we prove the equivalence between the test performed for the system in concentration... (More)
Structural properties, independent of specific parameter values, can explain the robustness of biochemical systems. In this paper we consider the framework previously proposed by the authors to assess structural stability of biochemical reaction networks with monotone reaction rates, which considers systems in concentration coordinates, and we show that the results can be applied to systems in reaction coordinates (whose stability was first investigated by Al-Radhawi and Angeli): the same numerical test can be employed to find a polyhedral Lyapunov function and thus certify stability. Under suitable assumptions on the rank of structural matrices, we prove the equivalence between the test performed for the system in concentration coordinates and in reaction coordinates. We finally illustrate the approach by examples.
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- author
- Blanchini, Franco and Giordano, Giulia LU
- organization
- publishing date
- 2015-12
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the IEEE Conference on Decision and Control
- article number
- 7402687
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 54th IEEE Conference on Decision and Control, CDC 2015
- conference location
- Osaka, Japan
- conference dates
- 2015-12-15 - 2015-12-18
- external identifiers
-
- scopus:84962019278
- ISBN
- 9781479978861
- DOI
- 10.1109/CDC.2015.7402687
- language
- English
- LU publication?
- no
- id
- c3ba1c7e-94fb-4043-8a24-85d8d311c323
- date added to LUP
- 2016-07-06 15:08:00
- date last changed
- 2022-01-30 04:58:42
@inproceedings{c3ba1c7e-94fb-4043-8a24-85d8d311c323, abstract = {{<p>Structural properties, independent of specific parameter values, can explain the robustness of biochemical systems. In this paper we consider the framework previously proposed by the authors to assess structural stability of biochemical reaction networks with monotone reaction rates, which considers systems in concentration coordinates, and we show that the results can be applied to systems in reaction coordinates (whose stability was first investigated by Al-Radhawi and Angeli): the same numerical test can be employed to find a polyhedral Lyapunov function and thus certify stability. Under suitable assumptions on the rank of structural matrices, we prove the equivalence between the test performed for the system in concentration coordinates and in reaction coordinates. We finally illustrate the approach by examples.</p>}}, author = {{Blanchini, Franco and Giordano, Giulia}}, booktitle = {{Proceedings of the IEEE Conference on Decision and Control}}, isbn = {{9781479978861}}, language = {{eng}}, pages = {{3110--3115}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Polyhedral Lyapunov functions for structural stability of biochemical systems in concentration and reaction coordinates}}, url = {{http://dx.doi.org/10.1109/CDC.2015.7402687}}, doi = {{10.1109/CDC.2015.7402687}}, year = {{2015}}, }